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Finding the Fourth Proportional to 23,692.88, 32,696.36 and 13,082.80

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Solution

The fourth proportional to 23,692.88, 32,696.36 and 13,082.80 is: 18,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.88 : 32,696.36 = 13,082.80 : x
  2. Step 2: Convert to fraction form
    23,692.88/32,696.36 = 13,082.80/x
  3. Step 3: Cross multiply
    23,692.88x = 32,696.36 × 13,082.80
  4. Step 4: Simplify right side
    23,692.88x = 427,759,938.61
  5. Step 5: Solve for x
    x = 427,759,938.61/23,692.88
  6. Step 6: Final answer
    x = 18,054.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.